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Example of Fractional Equations:
Example:
Solve the fractional equation (3x +8)/x +5 =0
Solution:
Multiply both sides of the equation by the LCD (x).
(x) ((3x +8)/x +5) = (0) (x)
3x + 8 + 5x = 0
8x + 8 = 0
Now solve the equation such as an ordinary linear equation.
Step 1. Transpose the +8 from the left-hand to the right- hand side of the equation by changing its sign.
8x = 0 - 8
8x = -8
Step 2. Using Axiom 4, divide both sides of the equation by 8.
8x/8 = -8/8
x = -1
Step 3. Check the root.
(3(-1)+8)/-1 +5 = (-3+8)/-1 +5 = -5 + 5 =0
The root checks.
Prove: 1/cos2A+sin2A/cos2A=sinA+cosA/cosA-sinA
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